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Finding the Fourth Proportional to 588.43, 812.40 and 378.69

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Solution

The fourth proportional to 588.43, 812.40 and 378.69 is: 522.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.43 : 812.40 = 378.69 : x
  2. Step 2: Convert to fraction form
    588.43/812.40 = 378.69/x
  3. Step 3: Cross multiply
    588.43x = 812.40 × 378.69
  4. Step 4: Simplify right side
    588.43x = 307,643.29
  5. Step 5: Solve for x
    x = 307,643.29/588.43
  6. Step 6: Final answer
    x = 522.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.